161404379136000 has 5440 divisors, whose sum is σ = 811345210131456. Its totient is φ = 30958682112000.

The previous prime is 161404379135939. The next prime is 161404379136017. The reversal of 161404379136000 is 631973404161.

It is a Jordan-Polya number, since it can be written as 13! ⋅ 6! ⋅ (3!)².

161404379136000 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 0 + 4 + 37 + 9 + 1 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12415721471994 + ... + 12415721472006.

Almost surely, 2^{161404379136000} is an apocalyptic number.

161404379136000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161404379136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405672605065728).

161404379136000 is an abundant number, since it is smaller than the sum of its proper divisors (649940830995456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161404379136000 is an frugal number, since it uses more digits than its factorization.

161404379136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 161404379136000 in words is "one hundred sixty-one trillion, four hundred four billion, three hundred seventy-nine million, one hundred thirty-six thousand".